%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU323-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:20:10 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.36s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-4 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq2(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B,A] : ifeq(element(B,powerset(the_carrier(A))),true,ifeq(closed_subset(B,A),true,ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(subset_complement(the_carrier(A),B),A),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [B,A] : ifeq(element(B,powerset(A)),true,element(subset_complement(A,B),powerset(A)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [B,A] : ifeq(element(B,powerset(the_carrier(A))),true,ifeq(top_str(A),true,element(topstr_closure(A,B),powerset(the_carrier(A))),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [B,A] : ifeq(element(B,powerset(the_carrier(A))),true,ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(topstr_closure(A,B),A),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [B,A] : ifeq2(element(B,powerset(the_carrier(A))),true,ifeq2(top_str(A),true,subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))),interior(A,B)),interior(A,B)) = interior(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
top_str(sK2_t51_tops_1_A) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
topological_space(sK2_t51_tops_1_A) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f28,plain,
! [X0,X1] : ifeq(element(X0,powerset(the_carrier(X1))),true,ifeq(closed_subset(X0,X1),true,ifeq(topological_space(X1),true,ifeq(top_str(X1),true,open_subset(subset_complement(the_carrier(X1),X0),X1),true),true),true),true) = true,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f34,plain,
! [X0,X1] : ifeq(element(X0,powerset(X1)),true,element(subset_complement(X1,X0),powerset(X1)),true) = true,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f35,plain,
! [X0,X1] : ifeq(element(X0,powerset(the_carrier(X1))),true,ifeq(top_str(X1),true,element(topstr_closure(X1,X0),powerset(the_carrier(X1))),true),true) = true,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f36,plain,
! [X0,X1] : ifeq(element(X0,powerset(the_carrier(X1))),true,ifeq(topological_space(X1),true,ifeq(top_str(X1),true,closed_subset(topstr_closure(X1,X0),X1),true),true),true) = true,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f46,plain,
! [X0,X1] : ifeq2(element(X0,powerset(the_carrier(X1))),true,ifeq2(top_str(X1),true,subset_complement(the_carrier(X1),topstr_closure(X1,subset_complement(the_carrier(X1),X0))),interior(X1,X0)),interior(X1,X0)) = interior(X1,X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f47,plain,
top_str(sK2_t51_tops_1_A) = true,
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f48,plain,
topological_space(sK2_t51_tops_1_A) = true,
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f49,plain,
element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true,
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f50,plain,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) != true,
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f193,plain,
! [X0] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(X0,sK2_t51_tops_1_A),true,ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),X0),sK2_t51_tops_1_A),true),true),true),true) = true,
inference(paramodulation,[status(thm)],[f48,f28]) ).
fof(f250,plain,
! [X0] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(X0,sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),X0),sK2_t51_tops_1_A),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f27,f193]) ).
fof(f251,plain,
! [X0] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(X0,sK2_t51_tops_1_A),true,ifeq(true,true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),X0),sK2_t51_tops_1_A),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f47,f250]) ).
fof(f252,plain,
! [X0] : ifeq(element(X0,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(X0,sK2_t51_tops_1_A),true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),X0),sK2_t51_tops_1_A),true),true) = true,
inference(forward_demodulation,[status(thm)],[f27,f251]) ).
fof(f854,plain,
ifeq(true,true,element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true,
inference(paramodulation,[status(thm)],[f49,f34]) ).
fof(f888,plain,
element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A))) = true,
inference(forward_demodulation,[status(thm)],[f27,f854]) ).
fof(f1358,plain,
ifeq(true,true,ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true),true) = true,
inference(paramodulation,[status(thm)],[f888,f36]) ).
fof(f1359,plain,
ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true),true) = true,
inference(paramodulation,[status(thm)],[f888,f35]) ).
fof(f1373,plain,
ifeq(topological_space(sK2_t51_tops_1_A),true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = true,
inference(forward_demodulation,[status(thm)],[f27,f1358]) ).
fof(f1374,plain,
ifeq(true,true,ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true),true) = true,
inference(forward_demodulation,[status(thm)],[f48,f1373]) ).
fof(f1375,plain,
ifeq(top_str(sK2_t51_tops_1_A),true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) = true,
inference(forward_demodulation,[status(thm)],[f27,f1374]) ).
fof(f1376,plain,
ifeq(true,true,closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true) = true,
inference(forward_demodulation,[status(thm)],[f47,f1375]) ).
fof(f1377,plain,
closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A) = true,
inference(forward_demodulation,[status(thm)],[f27,f1376]) ).
fof(f1378,plain,
ifeq(top_str(sK2_t51_tops_1_A),true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true,
inference(forward_demodulation,[status(thm)],[f27,f1359]) ).
fof(f1379,plain,
ifeq(true,true,element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true) = true,
inference(forward_demodulation,[status(thm)],[f47,f1378]) ).
fof(f1380,plain,
element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))) = true,
inference(forward_demodulation,[status(thm)],[f27,f1379]) ).
fof(f1406,plain,
ifeq(element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(true,true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),sK2_t51_tops_1_A),true),true) = true,
inference(paramodulation,[status(thm)],[f1377,f252]) ).
fof(f1413,plain,
ifeq(true,true,ifeq(true,true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),sK2_t51_tops_1_A),true),true) = true,
inference(forward_demodulation,[status(thm)],[f1380,f1406]) ).
fof(f1414,plain,
ifeq(true,true,open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),sK2_t51_tops_1_A),true) = true,
inference(forward_demodulation,[status(thm)],[f27,f1413]) ).
fof(f1415,plain,
open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),sK2_t51_tops_1_A) = true,
inference(forward_demodulation,[status(thm)],[f27,f1414]) ).
fof(f1902,plain,
ifeq2(true,true,ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
inference(paramodulation,[status(thm)],[f49,f46]) ).
fof(f1989,plain,
ifeq2(top_str(sK2_t51_tops_1_A),true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
inference(forward_demodulation,[status(thm)],[f26,f1902]) ).
fof(f1990,plain,
ifeq2(true,true,subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
inference(forward_demodulation,[status(thm)],[f47,f1989]) ).
fof(f1991,plain,
open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) = true,
inference(backward_demodulation,[status(thm)],[f1992,f1415]) ).
fof(f1992,plain,
subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))) = interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),
inference(forward_demodulation,[status(thm)],[f26,f1990]) ).
fof(f2009,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1991,f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU323-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.33 % Computer : n019.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Mon Sep 21 06:12:04 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.058600 seconds
% 0.12/0.40 % CPU time: 0.129859 seconds
% 0.12/0.40 % Total memory used: 10.546 MB
% 0.12/0.40 % Net memory used: 10.479 MB
%------------------------------------------------------------------------------